Given information
Using the data from Lap only, conduct a hypothesis test to determine if the meantime for completing a lap in races is the same as it is in practices.
Step-by-step explanation
Now, consider the following observations:
The null hypothesis is defined as follows:
The alternative hypothesis is stated as follows:
The difference between mechanical and electrical engineers means entry-level salary is .
Student’s t (sample t-test, variances not pooled).
For the mean difference, the paired test static is,
After ENTER all of the values, look at the OUTPUT below.
Test statistic .
The p-value from the output is
Drawing a representation of the situation using the information from the last exercise.
The horizontal axis should be clearly labeled and scaled, and the region(s) matching the should be shaded on the graph.
Decision: Null hypothesis is rejected.
Conclusion: At the significance level, there is enough information to establish that the time it takes to complete a lap in a race differs from the time it takes to complete a lap in practice.
Therefore,
there is sufficient evidence to conclude that the meantime for completing a lap in races is different from that in practices